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Finding the Fourth Proportional to 32,012.46, 44,175.41 and 17,866.22

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Solution

The fourth proportional to 32,012.46, 44,175.41 and 17,866.22 is: 24,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.46 : 44,175.41 = 17,866.22 : x
  2. Step 2: Convert to fraction form
    32,012.46/44,175.41 = 17,866.22/x
  3. Step 3: Cross multiply
    32,012.46x = 44,175.41 × 17,866.22
  4. Step 4: Simplify right side
    32,012.46x = 789,247,350.44
  5. Step 5: Solve for x
    x = 789,247,350.44/32,012.46
  6. Step 6: Final answer
    x = 24,654.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.